Question 45070
{{{sqrt(2x - 1) + x = 4}}}
{{{sqrt(2x - 1) = -x + 4}}}
{{{sqrt(2x - 1)^2 = (-x + 4)^2}}}
{{{2x - 1 = x^2 - 8x + 16}}}
{{{0 = x^2 - 10x + 17}}}
a=1 b=-10 c=17
{{{x = (-b +- sqrt( b^2 - 4*a*c ))/(2*a) }}}
{{{x = (10 +- sqrt( 100 - 68 ))/(2) }}}
{{{x = (10 +- sqrt( 32 ))/(2) }}}
{{{x = (10 +- 4*sqrt( 2 ))/(2) }}}
{{{x = 5 +- 2*sqrt( 2 ) }}}
Plug Them In (only one works) :
{{{x = 5 - 2*sqrt( 2 )}}}
{{{ graph( 600, 600, -10, 10, -10, 10, sqrt(2x - 1) + x, 4) }}}